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Finding the Fourth Proportional to 138,797, 208,201.26 and 40,301

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Solution

The fourth proportional to 138,797, 208,201.26 and 40,301 is: 60,453.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,797 : 208,201.26 = 40,301 : x
  2. Step 2: Convert to fraction form
    138,797/208,201.26 = 40,301/x
  3. Step 3: Cross multiply
    138,797x = 208,201.26 × 40,301
  4. Step 4: Simplify right side
    138,797x = 8,390,718,979.26
  5. Step 5: Solve for x
    x = 8,390,718,979.26/138,797
  6. Step 6: Final answer
    x = 60,453.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.